66090600 has 96 divisors (see below), whose sum is σ = 227664000. Its totient is φ = 17622720.

The previous prime is 66090587. The next prime is 66090643. The reversal of 66090600 is 609066.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720 + ... + 11519.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 2^66090600 is an apocalyptic number.

66090600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66090600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832000).

66090600 is an abundant number, since it is smaller than the sum of its proper divisors (161573400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66090600 is a wasteful number, since it uses less digits than its factorization.

66090600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66090600 is about 8129.6125368925. The cubic root of 66090600 is about 404.3088348594.

Adding to 66090600 its reverse (609066), we get a palindrome (66699666).

The spelling of 66090600 in words is "sixty-six million, ninety thousand, six hundred".